IB Mathematics Analysis and Approaches Topic SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR Questionbank (SL/HL)

IB Mathematics Analysis and Approaches Topic SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR Questionbank (SL/HL) | RevisionDojo

Practice IB Mathematics Analysis and Approaches (AA) Topic SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR and mirrors Paper 1, 2, 3 style where relevant.

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Paper

Level

Question 1

SL & HLPaper 1

The scores of $25$ students on a short mathematics quiz are summarized in the frequency table below:

Score (x)	0	1	2	3	4	5
Frequency (f)	2	4	7	6	4	2

Find the lower quartile ( $Q_{1}$ ) of the scores.

[2]

Find the upper quartile ( $Q_{3}$ ) of the scores.

[2]

Calculate the interquartile range (IQR).

[2]

Question 2

SL & HLPaper 1

A student took three quizzes. Her mean score was $7$ . Her median score was $6$ . The range of her three scores was $8$ marks.

Find the number of marks she scored in each of the three quizzes.

[3]

The student took a fourth quiz. The mean of her four scores was $9$ . Find her score in the fourth quiz.

[3]

Question 3

SL & HLPaper 1

The heights (in cm) of 50 plants are recorded in the following frequency table:

Height $(\mathrm{cm})$	Frequency
$20 \leq h<30$	10
$30 \leq h<40$	15
$40 \leq h<50$	12
$50 \leq h<60$	8
$60 \leq h<70$	5

Estimate the mean height of the plants.

[3]

Determine the modal class.

[1]

Estimate the probability that a randomly selected plant has a height of at least 50 cm.

[2]

Question 4

SL & HLPaper 1

The scores, $x$ , in marks obtained by $15$ students in a mathematics quiz are: $32, 45, 28, 39, 41, 35, 25, 48, 30, 42, 38, 36, 40, 33, 44$

Find the median score.

[2]

Find the lower quartile and the upper quartile of the scores.

[4]

Calculate the interquartile range of the scores.

[1]

Question 5

SL & HLPaper 2

A survey was conducted asking $60$ people how many pets they owned. The results are summarised in the table below:

Number of pets	0	1	2	3	4	5
Frequency	15	12	10	8	10	5

Write down the median number of pets.

[1]

Calculate the mean number of pets, giving your answer correct to 3 decimal places.

[3]

Calculate the probability that two people, chosen at random, both owned $4$ pets. Give your answer as a fraction in its simplest form.

[2]

IB Mathematics Analysis and Approaches SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR Questionbank

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IB Mathematics Analysis and Approaches SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR Questionbank

IB Mathematics Analysis and Approaches (AA) Topic SL 4.3—mean, Median, Mode. Mean of Grouped Data, Standard Deviation. Quartiles, IQR Questionbank

Unlock all 24 questions with a free account